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Finding the Third Proportional to 381.94 and 491.63

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Solution

The third proportional to 381.94 and 491.63 is: 632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.94 : 491.63 = 491.63 : x
  2. Step 2: Convert to fraction form
    381.94/491.63 = 491.63/x
  3. Step 3: Cross multiply
    381.94x = 491.63 × 491.63
  4. Step 4: Simplify right side
    381.94x = 241,695.14
  5. Step 5: Solve for x
    x = 241,695.14/381.94
  6. Step 6: Final answer
    x = 632.81

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.